# Chapter 9 - Inequalities and Problem Solving - 9.2 Intersections, Unions, and Compound Inequalities - 9.2 Exercise Set - Page 591: 85

$[10,\infty)$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ The domain of the given function, $f(x)=\sqrt{x-10} ,$ is all values of $x$ for which the radicand is non-negative. Express the answer in interval notation. $\bf{\text{Solution Details:}}$ Since the radicand of a radical with an even index has to be non-negative, then \begin{array}{l}\require{cancel} x-10\ge0 \\\\ x\ge10 .\end{array} Hence the domain is $[10,\infty) .$

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